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Let the number be 'm' & 'n'
Hence as multiples
mn = -1
m + n = -8
Let m = -8 -n
Substitute
n(-8 -n) = -1
-8n - n^2 = -1
n^2 + 8n - 1 = 0 4
This will not factor so apply the Quadratic Equation.
n = {-8 +/- sqrt{8^2 - 4(1)(-1)]} / 2(1)
n = {-8 +/- sqrt[64 + 4]} / 2
n = {-8 +/-sqrt[68]}/2
n = { - 8+/- 8.2462...} / 2
n = -4 +/- 4.1231....
n = - 8.1231.... & 0.1231. are the two numbers.
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